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"Math is the language of our universe" Galileo was quoted as saying "nature's great book is written in mathematical language".
All these circles contain and demonstrate mathematical relationships. This may be astronomical, universal structure or how interplanetary processes actually works. Gravitational structure may also be displayed.
In brief, they represent mathematical messages of meaning about our universe.
Decoding the actual mathematical messages of these circles is a daunting task. If math is the common language of the universe, this is how they would communicate.
Some suggest the works are presented in Binary Code. A full discussion of crop circle formation, structure and binary code including a video, is here.
In Summary
My personal opinion is, hoaxer types can be easily discounted if they do not have the magnetic and soil anomalies present in true crop circles.
Secondly, most are real and presented by those of vastly higher intelligence possibly in an educational format.
Exactly what subjects they represent or mathematical relationships they reveal is a continuing mystery worthy of further study and exploration.
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